%0 Journal Article %A Matthew J. Gursky %A Andrea Malchiodi %T A strong maximum principle for the Paneitz operator and a non-local flow for the $Q$-curvature %J Journal of the European Mathematical Society %D 2015 %P 2137-2173 %V 17 %N 9 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/553/ %R 10.4171/jems/553 %F JEMS_2015_17_9_a2